Exponents - Maharashtra Board STD 7 Maths Questions

Express of the following numbers as a product of powers of thier prime factors: 24000

Identify the greater number in the following:$2^5$ or $5^2$

If a = 2 and b = 3, the find the values of the following:
$\Big(\frac{\text{a}}{\text{b}}+\frac{\text{b}}{\text{a}}\Big)^{\text{a}}$

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Q 41 Mark Question1 Mark

Express the following in exponential form:
$x \times x \times x \times x \times a \times a \times b \times b \times b$

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Q 51 Mark Question1 Mark

Express the following numbers in the standard form: $3,18,65,00,000$

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Q 62 Mark Question2 Marks

Simplify and express the following in exponential form:
$\Big({\frac{5}{2}}\Big)^6\times\Big(\frac{5}{2}\Big)^2$

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Q 72 Mark Question2 Marks

Using laws of exponents, simplify and write the answer in exponential form:
$5^{12} \div 2^3$

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Q 82 Mark Question2 Marks

Simplify and express the following in exponential form:
$\Big({\frac{2}{3}}\Big)^5\times\Big(\frac{3}{5}\Big)^5$

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Q 92 Mark Question2 Marks

Simplify and write the following in exponential form:
$(81)^5 \div\left(3^2\right)^5$

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Q 102 Mark Question2 Marks

Find the values of n in the following:
$\Big(\frac{3}{2}\Big)^4\times\Big(\frac{3}{2}\Big)^5=\Big(\frac{3}{2}\Big)^{2\text{n}+1}$

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Q 113 Mark Question3 Marks

Simplify:
$\frac{16\times(2)^{\text{n+1}}-4\times2^{\text{n}}}{16\times(2)^{\text{n}+2}-2\times(2)^{\text{n}+2}}$

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Q 123 Mark Question3 Marks

Simplify and write the following in exponential form:
$\frac{9^8\times(\text{x}^2)^5}{(27)^4\times(\text{x}^3)^2}$

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Q 133 Mark Question3 Marks

Simplify and write the following in exponential form:
$\frac{3^2\times7^8\times13^6}{(21)^2\times(91)^3}$

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Q 143 Mark Question3 Marks

Simplify:
$\left(3^5\right)^{11} \times\left(3^{15}\right)^4-\left(3^5\right)^{18} \times\left(3^5\right)^5$

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Q 153 Mark Question3 Marks

Simplify:
$\frac{10\times(5)^{\text{n}+1}+25\times5^{\text{n}}}{3\times(5)^{\text{n}+2}+10\times(5)^{\text{n}+1}}$

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Q 16MCQ1 Mark

$\Big\{\Big(\frac{1}{3}\Big)^{-3}-\Big(\frac{1}{2}\Big)^{-3}+\Big(\frac{1}{4}\Big)^{-3}\Big\}$

✓
$\frac{19}{64}$
B
$\frac{64}{19}$
C
$\frac{27}{16}$
D
$\frac{-19}{64}$

Answer: A.

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Q 17MCQ1 Mark

$(1+3+5+7+9+11)^{\frac{3}{2}}=$

A
$36$
✓
$216$
C
$256$
D
None of these.

Answer: B.

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Q 18MCQ1 Mark

If $\Big(\frac{5}{3}\Big)^{-5}\times\Big(\frac{5}{3}\Big)^{11}=\Big(\frac{5}{3}\Big)^{8\text{x}}, \text{then x}=?$

A
$-\frac{1}{2}$
B
$-\frac{3}{4}$
✓
$\frac{3}{4}$
D
$\frac{4}{3}$

Answer: C.

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Q 19MCQ1 Mark

If $3^{ x }=6561$, then $3^{x-3}=$

A
$81$
✓
$243$
C
$729$
D
$27$

Answer: B.

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Q 20MCQ1 Mark

If $x y z=0$, then find the value of $\left(a^x\right)^{y z}+\left(a^y\right)^{z x}+\left(a^z\right)^{x y}=$

✓
$1. 3$
B
$2. 2$
C
$3. 1$
D
$4. 0$

Answer: A.

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Q 214 Mark Question4 Marks

Find the values of n in the following:
If $\frac{9^{\text{n}}\times3^2\times3^{\text{n}}-27^{\text{n}}}{(3^3)^5\times2^3}=\frac{1}{27},$ find the value of n

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Exponents Maths - Exponents

Exponents question types

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